Gaussian quantum steering under the influence of a dilaton black hole

TL;DR

This paper investigates how a dilaton black hole's gravity affects Gaussian quantum steering, revealing destruction, generation, asymmetry, and critical phenomena in quantum correlations near the event horizon.

Contribution

It provides the first analysis of Gaussian quantum steering dynamics in dilaton black hole spacetime, highlighting unique phenomena like sudden death, asymmetry, and critical points.

Findings

Gravity destroys initial steerability between observers.

Quantum steering can be generated across the event horizon.

Steering asymmetry indicates a critical point between one-way and two-way steering.

Abstract

We study the dynamics of Gaussian quantum steering in the background of a Garfinkle-Horowitz-Strominger dilaton black hole. It is found that the gravity induced by dilaton field will destroy the quantum steerability between the inertial observer Alice and the observer Bob who hovers outside the event horizon, while it generates steering-type quantum correlations between the causally disconnected regions. Therefore, the observers can steer each other's state by local measurements even though they are separated by the event horizon. Unlike quantum entanglement in the dilaton spacetime, the quantum steering experiences catastrophic behaviors such as "sudden death" and "sudden birth" with increasing dilaton charge. In addition, the dilaton gravity destroys the symmetry of Gaussian steering and the latter is always asymmetric in the dilation spacetime. Interestingly, the attainment of maximal steering asymmetry indicates the critical point between one-way and two-way steering for the two-mode Gaussian state in the dilaton spacetime.